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1. Ji = yo 7 3. J3 = y2 | 7 Given the following integrals h dx 2 h • I2 dx = -h. h2 3 -h • I3 dx = -h. 2h 2h2 3 where h = x2 – x1 = X1 – xo- Using I1, I2 and I3, evaluate the following integrals (x – x1)(x – x2) dx. 1. J1 = yo (xo – 1)(xo – x2) (x – xo)(x – x2) T2 2. J2 = y1 dx. (x1 – ro)(x1 – x2) p* (r – xo)(x – x1) 3. J3 = 42 dx. (12 – To)(x2 – 11)

1. Ji = yo 7 3. J3 = y2 | 7 Given the following integrals h dx 2 h • I2 dx = -h. h2 3 -h • I3 dx = -h. 2h 2h2 3 where h = x2 – x1 = X1 – xo- Using I1, I2 and I3, evaluate the following integrals (x – x1)(x – x2) dx. 1. J1 = yo (xo – 1)(xo – x2) (x – xo)(x – x2) T2 2. J2 = y1 dx. (x1 – ro)(x1 – x2) p* (r – xo)(x – x1) 3. J3 = 42 dx. (12 – To)(x2 – 11)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Exercise 1 Given the following integrals ch • dx h 2 x² dx = -h. h? 4. • 1, = 1- 3 -h ch x² 1 dx = -h. 3 • 13 = 2h2 2h where h = x2 – X1 = X1 – x0- Using I1, I2 and I3, evaluate the following integrals (x – x1)(x – x2) 1. Ji = yo dx. (xo – x1)(xo – X2) po* (x – xo)(x – 12) L - 20)(x1 – 12) 2. J2 = y1 dx. (x – xo)(x – x1) 3. J3 = y2 dx. (x2 – xo)(x2 – 21)
Transcribed Image Text:Exercise 1 Given the following integrals ch • dx h 2 x² dx = -h. h? 4. • 1, = 1- 3 -h ch x² 1 dx = -h. 3 • 13 = 2h2 2h where h = x2 – X1 = X1 – x0- Using I1, I2 and I3, evaluate the following integrals (x – x1)(x – x2) 1. Ji = yo dx. (xo – x1)(xo – X2) po* (x – xo)(x – 12) L - 20)(x1 – 12) 2. J2 = y1 dx. (x – xo)(x – x1) 3. J3 = y2 dx. (x2 – xo)(x2 – 21)
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